Earlier quoted context omitted.
You are making the same mistake OP is calling out. As far as I can tell “generating context” is exactly what human reasoning is too. Consider the phrase “let’s reason this out” where you then explore all options in detail, before pronouncing your judgement. Feels exactly like what the AI reasoner is doing.
No, people make logical connections, make inferences, make sure all of it fits together without logical errors, etc.
I think a lot of people here think people reason like a mathematical theorem prover, like some sort of platonic ideal rationalist. That’s not how real brains work though.